Classroom Note:Global Stability in an $S \to I \to R \to I$ Model
From MaRDI portal
Publication:4376469
DOI10.1137/S0036144595295879zbMath0893.92027OpenAlexW2068462185MaRDI QIDQ4376469
Helmar Nunes Moreira, Yuquan Wang
Publication date: 10 February 1998
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036144595295879
Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (35)
Wave phenomena in a compartmental epidemic model with nonlocal dispersal and relapse ⋮ Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates ⋮ A stochastic SIRI epidemic model with Lévy noise ⋮ Stationary distribution and extinction of a stochastic SEIQ epidemic model with a general incidence function and temporary immunity ⋮ Global stability of a delayed SIRI epidemic model with nonlinear incidence ⋮ Global stability of epidemiological models with group mixing and nonlinear incidence rates ⋮ Analysis of an HIV/AIDS treatment model with a nonlinear incidence ⋮ Lévy noise perturbation for an epidemic model with impact of media coverage ⋮ Bistability of evolutionary stable vaccination strategies in the reinfection SIRI model ⋮ Dynamics of an epidemic model with quadratic treatment ⋮ Dynamics analysis of a diffusive SIRI epidemic system under logistic source and general incidence rate ⋮ Stationary distribution and extinction of a stochastic SIRI epidemic model with relapse ⋮ Infectious disease models with time-varying parameters and general nonlinear incidence rate ⋮ Unnamed Item ⋮ Media effects on the dynamics of a stochastic SIRI epidemic model with relapse and Lévy noise perturbation ⋮ A stochastic SIR epidemic system with a nonlinear relapse ⋮ A Lyapunov functional for a SIRI model with nonlinear incidence of infection and relapse ⋮ Global dynamics of an epidemiological model with age of infection and disease relapse ⋮ Global stability of equilibria in a two-sex HPV vaccination model ⋮ Stochastic stability and instability of an epidemic model with relapse ⋮ A stochastic SIRI epidemic model with relapse and media coverage ⋮ Traveling waves for a spatial SIRI epidemic model ⋮ Modeling relapse in infectious diseases ⋮ A spatial SIS model with Holling II incidence rate ⋮ Dynamical behaviors of an SIRI epidemic model with nonlinear incidence and latent period ⋮ Dynamics of a reaction-diffusion SIRI model with relapse and free boundary ⋮ A control treatment for a stochastic epidemic model with relapse and Crowly-Martin incidence ⋮ Global stability properties of age-dependent epidemic models with varying rates of recurrence ⋮ Spatial dynamics of a diffusive SIRI model with distinct dispersal rates and heterogeneous environment ⋮ Probability Analysis of a Perturbed Epidemic System with Relapse and Cure ⋮ Threshold dynamics of a diffusive SIRI model with nonlinear incidence rate ⋮ Asymptotic solution for a class of epidemic contagion ecological nonlinear systems ⋮ Construction of Dulac functions for mathematical models in population biology ⋮ Two differential infectivity epidemic models with nonlinear incidence rate ⋮ GLOBAL DYNAMICS OF A CHOLERA MODEL WITH AGE-OF-IMMUNITY STRUCTURE AND REINFECTION
This page was built for publication: Classroom Note:Global Stability in an $S \to I \to R \to I$ Model